Verfügbarkeit: L² approaches in several complex variables

L² approaches in several complex variables: development of Oka–Cartan theory by L² estimates for the ∂̄ operator

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Bibliographische Detailangaben
1. Verfasser:	Ohsawa, Takeo (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Tokyo Springer [2015]
Schriftenreihe:	Springer monographs in mathematics
Schlagworte:	Mathematics Algebraic geometry Functional analysis Functions of complex variables Differential geometry Several Complex Variables and Analytic Spaces Algebraic Geometry Differential Geometry Functional Analysis Mathematik L2-Approximation Mehrere komplexe Variable
Online-Zugang:	BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Beschreibung:	1 Online Ressource (IX, 196 Seiten, 5 illus)
ISBN:	9784431557470
ISSN:	1439-7382
DOI:	10.1007/978-4-431-55747-0

Internformat

MARC


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Datensatz im Suchindex

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adam_text	L2 APPROACHES IN SEVERAL COMPLEX VARIABLES / OHSAWA, TAKEO : 2015 TABLE OF CONTENTS / INHALTSVERZEICHNIS PART I HOLOMORPHIC FUNCTIONS AND COMPLEX SPACES CONVEXITY NOTIONS COMPLEX MANIFOLDS CLASSICAL QUESTIONS OF SEVERAL COMPLEX VARIABLES PART II THE METHOD OF L2ESTIMATES BASICS OF HILB ERT SPACE THEORY HARMONIC FORMS VANISHING THEOREMS FINITENESS THEOREMS NOTES ON COMPLETE KAHLER DOMAINS(=CKDS) PART III L2VARIANT OF OKA-CARTAN THEORY EXTENSION THEOREMS DIVISION THEOREMS MULTIPLIER IDEALS PART IV BERGMAN KERNELS THE BERGMAN KERNEL AND METRIC BERGMAN SPACES AND ASSOCIATED KERNELS SEQUENCES OF BERGMAN KERNELS PARAMETER DEPENDENCE PART V L2APPROACHES TO HOLOMORPHIC FOLIATIONS HOLOMORPHIC FOLIATION AND STABLE SETS L2METHOD APPLIED TO LEVI FLAT HYPERSURFACES LFHS IN TORI AND HOPF SURFACES DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. L2 APPROACHES IN SEVERAL COMPLEX VARIABLES / OHSAWA, TAKEO : 2015 ABSTRACT / INHALTSTEXT THE PURPOSE OF THIS MONOGRAPH IS TO PRESENT THE CURRENT STATUS OF A RAPIDLY DEVELOPING PART OF SEVERAL COMPLEX VARIABLES, MOTIVATED BY THE APPLICABILITY OF EFFECTIVE RESULTS TO ALGEBRAIC GEOMETRY AND DIFFERENTIAL GEOMETRY. HIGHLIGHTED ARE THE NEW PRECISE RESULTS ON THE L2 EXTENSION OF HOLOMORPHIC FUNCTIONS. IN CHAPTER 1, THE CLASSICAL QUESTIONS OF SEVERAL COMPLEX VARIABLES MOTIVATING THE DEVELOPMENT OF THIS FIELD ARE REVIEWED AFTER NECESSARY PREPARATIONS FROM THE BASIC NOTIONS OF THOSE VARIABLES AND OF COMPLEX MANIFOLDS SUCH AS HOLOMORPHIC FUNCTIONS, PSEUDOCONVEXITY, DIFFERENTIAL FORMS, AND COHOMOLOGY. IN CHAPTER 2, THE L2 METHOD OF SOLVING THE D-BAR EQUATION IS PRESENTED EMPHASIZING ITS DIFFERENTIAL GEOMETRIC ASPECT. IN CHAPTER 3, A REFINEMENT OF THE OKA–CARTAN THEORY IS GIVEN BY THIS METHOD. THE L2 EXTENSION THEOREM WITH AN OPTIMAL CONSTANT IS INCLUDED, OBTAINED RECENTLY BY Z. BLOCKI AND BY Q.-A. GUAN AND X.-Y. ZHOU SEPARATELY. IN CHAPTER 4, VARIOUS RESULTS ON THE BERGMAN KERNEL ARE PRESENTED, INCLUDING RECENT WORKS OF MAITANI–YAMAGUCHI, BERNDTSSON, AND GUAN–ZHOU. MOST OF THESE RESULTS ARE OBTAINED BY THE L2 METHOD. IN THE LAST CHAPTER, RATHER SPECIFIC RESULTS ARE DISCUSSED ON THE EXISTENCE AND CLASSIFICATION OF CERTAIN HOLOMORPHIC FOLIATIONS AND LEVI FLAT HYPERSURFACES AS THEIR STABLES SETS. THESE ARE ALSO APPLICATIONS OF THE L2 METHOD OBTAINED DURING THESE 15 YEARS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Ohsawa, Takeo
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spelling	Ohsawa, Takeo Verfasser aut L² approaches in several complex variables development of Oka–Cartan theory by L² estimates for the ∂̄ operator Takeo Ohsawa Tokyo Springer [2015] © 2015 1 Online Ressource (IX, 196 Seiten, 5 illus) txt rdacontent c rdamedia cr rdacarrier Springer monographs in mathematics 1439-7382 Mathematics Algebraic geometry Functional analysis Functions of complex variables Differential geometry Several Complex Variables and Analytic Spaces Algebraic Geometry Differential Geometry Functional Analysis Mathematik L2-Approximation (DE-588)4166292-1 gnd rswk-swf Mehrere komplexe Variable (DE-588)4169285-8 gnd rswk-swf L2-Approximation (DE-588)4166292-1 s Mehrere komplexe Variable (DE-588)4169285-8 s 1\p DE-604 Erscheint auch als Druckausgabe 978-4-431-55746-3 https://doi.org/10.1007/978-4-431-55747-0 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632856&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632856&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Ohsawa, Takeo L² approaches in several complex variables development of Oka–Cartan theory by L² estimates for the ∂̄ operator Mathematics Algebraic geometry Functional analysis Functions of complex variables Differential geometry Several Complex Variables and Analytic Spaces Algebraic Geometry Differential Geometry Functional Analysis Mathematik L2-Approximation (DE-588)4166292-1 gnd Mehrere komplexe Variable (DE-588)4169285-8 gnd
subject_GND	(DE-588)4166292-1 (DE-588)4169285-8
title	L² approaches in several complex variables development of Oka–Cartan theory by L² estimates for the ∂̄ operator
title_auth	L² approaches in several complex variables development of Oka–Cartan theory by L² estimates for the ∂̄ operator
title_exact_search	L² approaches in several complex variables development of Oka–Cartan theory by L² estimates for the ∂̄ operator
title_full	L² approaches in several complex variables development of Oka–Cartan theory by L² estimates for the ∂̄ operator Takeo Ohsawa
title_fullStr	L² approaches in several complex variables development of Oka–Cartan theory by L² estimates for the ∂̄ operator Takeo Ohsawa
title_full_unstemmed	L² approaches in several complex variables development of Oka–Cartan theory by L² estimates for the ∂̄ operator Takeo Ohsawa
title_short	L² approaches in several complex variables
title_sort	l² approaches in several complex variables development of oka cartan theory by l² estimates for the ∂ operator
title_sub	development of Oka–Cartan theory by L² estimates for the ∂̄ operator
topic	Mathematics Algebraic geometry Functional analysis Functions of complex variables Differential geometry Several Complex Variables and Analytic Spaces Algebraic Geometry Differential Geometry Functional Analysis Mathematik L2-Approximation (DE-588)4166292-1 gnd Mehrere komplexe Variable (DE-588)4169285-8 gnd
topic_facet	Mathematics Algebraic geometry Functional analysis Functions of complex variables Differential geometry Several Complex Variables and Analytic Spaces Algebraic Geometry Differential Geometry Functional Analysis Mathematik L2-Approximation Mehrere komplexe Variable
url	https://doi.org/10.1007/978-4-431-55747-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632856&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632856&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT ohsawatakeo l2approachesinseveralcomplexvariablesdevelopmentofokacartantheorybyl2estimatesfortheoperator

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